Lipschitz perturbations

In this work we studied the robust stability for implicit integro-dynamic equations on time scales with nabla derivative, which is considered as a generation of differential algebraic equations and implicit difference equations. We showed the reservation of exponential stability of these equations under small Lipschitz perturbations.

11p vimitsuki 30-03-2025 3 1   Download

The dissertation has five chapters and a list of references. The chapters concentrate on the following issues: In Chapter 1, we recall some classical results of the problem and some basic concepts from variational analysis and nonsmooth analysis. In Chapter 2, we investigate some new models of nonlinear nonlocal regularity; Chapter 3 is devoted to the study of metric perturbation of Milyutin-type regularity on a fixed set under composition of a set-valued mapping and a Lipschitz single-valued mapping;...

145p visteveballmer 06-11-2021 19 3   Download